Question

Which side lengths form a right triangle?

Answer 1

Answer:

A and C

Step-by-step explanation:

A

$= \sqrt{ {5}^{2} + ( \sqrt{6})^{2} } \\ = \sqrt{25 + 6} \\ = \sqrt{31}$

C

$= \sqrt{ {9}^{2} + {12}^{2} } \\ = \sqrt{81 + 144} \\ = \sqrt{225} \\ = 15$

Answer 2

Answer:

A and C.

Step-by-step Explanation

1.  The sides are:

√6 = 2.45

√31 =  5.57 and 5.

These values do form a triangle.

2.  √5 = 2.24

50 is > that 2 *2.24 so these do not form a triangle.

3.  9,  12 and 15  do form a triangle.